On a mathematical model of a coupled fluid-structure problem (Q879913)
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scientific article; zbMATH DE number 5151298
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a mathematical model of a coupled fluid-structure problem |
scientific article; zbMATH DE number 5151298 |
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On a mathematical model of a coupled fluid-structure problem (English)
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10 May 2007
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The authors study the motion in an elastic vessel (for instance an artery) in a viscous incompressible fluid (for instance blood). The model consists of the hydrodynamical Navier-Stokes equations and elastic equations with a simple algebraic relationship: the displacement of the vessel wall is proportional to the normal component of the applied external stresses. An existence theorem is proved for the fluid circulation in the elastic domain. A comparison with the previous work shows the novelty of the results.
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fixed point theorem
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artery
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Navier-Stokes equations
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existence
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